Real Hypersurfaces and Complex Submanifolds in Complex Projective Space
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Publication:3730571
DOI10.2307/2000565zbMath0597.53021OpenAlexW4256483419MaRDI QIDQ3730571
Publication date: 1986
Full work available at URL: https://doi.org/10.2307/2000565
Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25)
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Cites Work
- Unnamed Item
- Unnamed Item
- Isoparametrische Hyperflächen in Sphären. I
- A condition for isoparametric hypersurfaces of \(S^ n\) to be homogeneous
- Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
- Real hypersurfaces in a complex projective space with constant principal curvatures
- Real hypersurfaces in a complex projective space with constant principal curvatures. II
- On locally symmetric Kaehler submanifolds in a complex projective space
- On some types of isoparametric hypersurfaces in spheres. II
- Isoparametric hypersurfaces with four or six distinct principal curvatures. Necessary conditions on the multiplicities
- On homogeneous real hypersurfaces in a complex projective space
- Differential geometry of Kaehler submanifolds
- Differential geometry of complex hypersurfaces
- Focal Sets and Real Hypersurfaces in Complexes Projective Space
- Geometric applications of critical point theory to submanifolds of complex projective space
- On real hypersurfaces of a complex projective space
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